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Finding the Third Proportional to 348,576 and 521,476

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Solution

The third proportional to 348,576 and 521,476 is: 780,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,576 : 521,476 = 521,476 : x
  2. Step 2: Convert to fraction form
    348,576/521,476 = 521,476/x
  3. Step 3: Cross multiply
    348,576x = 521,476 × 521,476
  4. Step 4: Simplify right side
    348,576x = 271,937,218,576
  5. Step 5: Solve for x
    x = 271,937,218,576/348,576
  6. Step 6: Final answer
    x = 780,137.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.